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Simplifying 4d + 3d + -4d + -5 = 2d Reorder the terms: -5 + 4d + 3d + -4d = 2d Combine like terms: 4d + 3d = 7d -5 + 7d + -4d = 2d Combine like terms: 7d + -4d = 3d -5 + 3d = 2d Solving -5 + 3d = 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. -5 + 3d + -2d = 2d + -2d Combine like terms: 3d + -2d = 1d -5 + 1d = 2d + -2d Combine like terms: 2d + -2d = 0 -5 + 1d = 0 Add '5' to each side of the equation. -5 + 5 + 1d = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 1d = 0 + 5 1d = 0 + 5 Combine like terms: 0 + 5 = 5 1d = 5 Divide each side by '1'. d = 5 Simplifying d = 5
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